The owners manual for your Corolla will have the recommended oil change intervals listed. You can use any oil and filter you wish as long as it has the current highest API ratings. Toyota is using 0W-20 synthetic motor oil now. For the best oil and filter, that will also save you money in oil...
To begin diagnosing the issue, you'll first have to scan the vehicles on-board computer and find out what the trouble code is that is illuminating the check engine light.
Is that transmission new or used?
Lowering a car is really a personal choice. There are drawbacks in reduced ride comfort and clearance over potholes, speed bumps, etc.
Many if not most automatic transmissions don't have a drain plug in the transmission pan. To replace the fluid in the pan, the pan itself has to be removed and while it's off, the transmission filter should be replaced along with a new pan gasket.
What year is your Corolla and what engine is...
Sounds like one of the rear defrosting wires on the rear window has been broken. The garage that did this owes you a free repair of your rear defroster! They broke it, they fix it! You don't pay someone to break your rear defroster.
Guessing, a motor mount or transmission mount could be worn out, but at 95,000 miles, that would be very unusual. Motor mounts shouldn't wear out at only 95,000 miles, but there's not much else that could be causing this.
I would strongly recommend against trying to start an engine that has been sitting that long without taking some precautions first. With an engine that has been sitting that long, all the oil drips off of the cylinder walls and this can actually cause the engine to seize up with the piston rings...
Welcome aboard! :)
Whatever you do, don't just start changing parts, as that gets very expensive, time consuming, frustrating and ends up with the garbage can having perfectly good parts being thrown into it.
Diagnose.
As for the fluids, is this...
Unless you're racking up mega-miles on your vehicle, it's not necessary and there is no benefit to doing oil changes every three months. Of course, if you own stock in a Big Oil industry company, well then they'd benefit by selling you oil you don't need. :)
You can negotiate a lower price using financing because long-term, the dealership knows they'll make more money than someone paying cash. So once you have the financing lined up with the lower price, then next month you go to the bank and pay off the loan with cash. This also helps to boost your...
I've never come across this before. Have you tried turning the, "Beep", switch off? :)
In all seriousness, it might be an idea to call your local Toyota dealers Service Department and see what they have to say. It sounds like something in the tire pressure monitoring system has gone awry...