1994 Accord F22b1 VTEC Car won't start!?

I recently just had my engine mounts replaced, they were bad. My dad drove the car back from the garage, after also getting a new high power battery. The car was fine; he said it turned on and off fine, even tho he stalled it about 3 times, but it turned right back on with no problems.

Lately, the car does not want to start, or just has a lot of trouble starting.

So far, I've been blaming it entirely on the weather. It's cold here in Florida right now, and I'm thinking the car is too cold to start properly.

What happens is, when you hold down the clutch, turn the key, the car acts like its going to start but it seems to be spurting and choking and it just won't start. Other times, the car doesn't spurt or anything it's just that it's about to start, but dies.

Today my dad and I tried a little test, taking off my alarm system from the battery and turning it on. It had problems, so we were curious that it was the cold weather. We finally managed to get it on, and left it on for about 10 minutes. We shut it off and when we tried to turn it back on, it would not start.

I have no idea what it could possibly be... Doing my research I'm looking at the main relay, bad starter, bad ignition, bad battery(again?!) or possibly something else.

I just don't know! I'd like to know what's wrong and how to get it fixed, I've spent too much money on this car for it being my first......

Here are the car's details.

The car was originally an automatic v6 accord, and it had it's F22B2 non-VTEC swapped for F22B1, VTEC and turned manual transmission.

It has a cold air intake,

coil-overs

no catalytic converter,

straight pipe and muffler

wired completely for sound system, all the way to the trunk

weird alarm system that will make the car not even click to start if door locks are on(THIS IS NOT AN ISSUE, THIS WAS CLEARED UP FOR MY BY THE PREVIOUS OWNER)