Can only drive using the choke...

Right so I'm at my wits end here now. 

I set the carb up to a decent mixture and idle to 950rpm. The car idles perfectly without issues, revving it well through the rev range and doesn't waver when returning to 950rpm. 

But. 

It doesn't want to drive. When accelerating in gear it goes to bog down and stutter, it will not pull away easily.  

If I pull away on the with the choke and get up to speed using that, when I try to accelerate the car bogs again and won't accelerate. When the choke is off the same things happens. 
I had to drive across town earlier using nothing but the choke as my throttle. 

What the hell is causing this ?! It was driving fine (or so it seemed) two days ago. 

Sounds like it could be fuel starvation.

Pick up pipe in the fuel tank blocked?
Have you got rusty filler neck syndrome?
Fuel pump failure?

Hows the timing?

Fueling is just fine, there's a bit Of crud in the lines but it has been running fine up until now (well sort of). 

Timing I'd assume is fine as it had perfect idle and last week was driving brilliant all through the range, even got it up to 80mph!

New symptom now though …..!

Oil was leaking out the dipstick and can cover oil cap 

I have a suspicion it's all head gasket related    

Why do you think head gasket?

Fueling can't be fine if you have to pull the choke out!

They are random symptoms to suspect the head gasket.

You say it ticks over fine. If it were head gasket it would  unlikely be across all 4 cylinders and pulling the choke out would make matters worse. Without sounding blunt - your posts now make no sense.  

If its a small block it could be the filter gauze blocked at the rear of the block causing oil to blow from the dipstick.
There needs to be a more suitable symptom related to the head gasket - such as over heating, miss firing, losing water/oil?

Well last week after I shortly got te car in the road and was driving it around for the first time since it was SORN over three years ago it was running lovely, but then issues started to occur. The car would stall from cold, not idle without the choke, fluctuated idle, lack of power, juddering, misfiring, fuel starvation… And probably a few more issues. 

After changing the rubber carb gasket, a few other carb gaskets and cleaning the carb out, checking the fuel lines (had been pinched), cleaning out the fuel pump, replacing the spark plugs, fuel filter, checking the coil leads and connection and checking voltages across every bleeding terminal you can imagine I also ran a compression test which came up with 10,8,10,10 BAR so I considered the gasket may have become damaged somehow or engine wear. 
I went to replace the thermostat which help sort the cold stall issue as mine didn't actually contain one, and it drove a bit so so for a couple of days before it got much worse. I couldn't drive the car without the choke at all or it was splutter and judder and loose all power as soon as I went to accelerate. 
Eventually I ended up with the situation above. I've had some funny head gasket problems before and it's a basic engine so hardly a days work either. 

So maybe it doesn't make sense but the oil jizzing over me was the last straw and I was done with reason. 

I've replaced the head gasket, timing belt, instagasket'ed around the carb, I've an electronic ignition (accuspark) in the post and just need to get some new HT leads which VW heritage supplied me with the wrong ones -_-
This car has cause me a lot of stress as I've basically built it up from the ground on a budget from interior to exterior. If you ask me Yomp this car doesn't make any sense, I wish I had put the money into my mini. 
But it's driving lovely now, took it out last night after it was done and didn't miss a beat. Started it this morning and with the exception of the revs slowly dropping with the choke on it was fab. Choke off, drove with not even a hiccup. 

Hopefully it lasts long enough for me to try and enjoy the car. 

Have you looked at the fuel filler neck for any holes in it, take the filler cap off and shine a torch down and look from underneath the wheel arch.
Have a look inside the fuel tank to see if the fuel pick up is blocked with grit/rusty metal.

Symptoms have returned after I overtook a car earlier this morning. I need to have the choke in slightly to keep the car driving otherwise it'll stutter and produce no power. 

I need to get back from college tonight at 6 which is 40 minutes from mine so any quick fixes with limited tools?! 

Filler neck is solid and fuel filter isn't blocked. The tank got ran very low before I filled it up last night so wondering maybe if the inside pick up or something else carb related could be the issue 

Have you removed the pick up pipe from the fuel tank to see if its blocked?

You can blow back down the fuel pipe if you have a screwdriver and remove the pipe from the inline filter in the engine bay. That may tell you if the pick up filter is blocking, I used to have to do it to mine after similar symptoms and then it;d be alright for any thing between 1 week and 1 month!

I removed the pick up and cleared any debris in there that may have been causing an issue but from removing the hose after the pump it appears I've a strong consistent flow of fuel and still have this issue. 
I also checked in the fuel pump's internal filter which was clean. 

I think it seems air related and even though I renewed the rubber gasket mount I have a feeling that could be at fault again. Saying that I could probably double check a few things before ripping it off again… It's so annoying as it was running so damn well!

Is there anything that could have caused this when the car was at high revs? It did it as I was overtaking but wasn't near redlining it at all… I'm just stumped as to why there and then it happened. 

Fixed! 

Removed the idle jet out the side of the carb and sprayed it full of carb cleaner as well as all the other jet holes I could get the nozzle and a brush bristle into. 
Back to driving perfect again… Until next time. 

was just about to say, check the jets and the orings on the adjusting screws! also, if there is anything clogged in the carb, get it running and then use your palm to block the intake on the carb breifly but keep the revs up a bit to stop it dying and after a few times that usually unclogs any crud stuck in parts of the carb    (worked for me anyway)