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You can take a look at owner reviews and common problem that RepairPal has collected here: http://repairpal.com/cadillac-eldorado-2000/common_problems My experience has been that electrical, cooling, and engine problems plague these cars and that they are extremely expensive to repair and maintain. If you have a big budget and don't mind dealing with reliability issues, then go for it. For your first car, if you want to keep it cheap and reliable, take a look at some Toyota Camrys, Honda Accords, and Honda Civics.
It may need to recharged. You should visit a quality Mercedes shop in your area for help.
You can get a temporary subscription to Mitchell1, which will have all of the detail you need: http://bit.ly/mitchell_repair_manuals_online
Call Safelite Auto Glass for a quote. This piece of glass may be dealer only--if so, they can tell you.
I'd bet that your AC simply needs to be recharged. A visit to a good shop with a competent AC-certified tech is the way go. Don't go to a Quick Lube.
Don't start by checking or changing the starter. This is more likely to be the battery. How old is the battery?
Who did the oil change? Return to them immediately. They may not have put oil back in the car. This indicates some sort of very serious problem you should not be having immediately after a service.
Unfortunately, it's probably leaking somewhere or consuming coolant, etc. I would take the car in for a professional diagnosis--you may be running a risk of blowing a head gasket or some other cataclysm that will cost you a ton of money.
Try this easy fix first: Chevron Techron Concentrate Plus You can probably get a bottle or two at the auto parts store or even your local gas station. This Plus version of this fuel system cleaner was specifically formulated to clean corrosion off of the fuel sending unit that so commonly causes the problem you're seeing in GM trucks. If a couple of tanks of fuel with this doesn't work, you'll probably have to spend a bundle on a new fuel pump.
Here is some help: http://repairpal.com/obd-ii-code-p0153 http://repairpal.com/po159-error-02-sensor-164