Wierd squeal and lack of power

[Apparition]

Hey guys, here is a new problem I've encountered.

The following happens whenever its cold, usually right around freezing. Below freezing it rarely does it, and when its warm, it rarely did. But it happens.

I get the loudest squeal ever. If I rev the throttle, it squeals louder/faster. I thought it was the fan belt, but wouldn't that make the squeal happen ALL the time?

The main lack of power is first gear. Yes, its manual. So I prepare to exit as I normally do, and the revs just dip like mad. I've been driving standard for over 3 years, so its not user error. I gas it, but it doesn't seem to let gas flow, and as I let out the clutch, obviously the car gets ready to stall. This is really apparent when this squeal is happening.

Oh also when I start it, it stalls often. I usually have to rev it, and I can feel the car just shudder. It takes steady pressure on the gas to even it out.

Any advice?