Chevy Cavalier 91 - Dashboard symbol "check" lite

Check the dash lite fuse first, if that is ok remove the dash lite dimmer control switch and check to see that 12 volts is present at the switch with the headlights turned on, the dimmer is defective if you have 12 volts present.

Sounds like the traction control is off.
Either from it being turned off by the driver or because of a problem with the system.
The symbols should be in the front section of your owners manual.

Your gas tank should hold about 13.1 gal.s I believe and your oil for a oil change including filter is 4 quarts only....don't overfill! I own one so I know.

sound like problem in the theft security systm,try this insert another key in the ignition switch, the other key could be worn where pcm and bcm dont recognize it. and switch ignition on engine off watch padlock symbol with ignition switch left on 10 minutes the padlock symbol will extinguish or turn off then you will turn off ignition switch wait 5 seconds then try starting vechicle if start your theft security failing need let dealership check it out.

You don't assume anything

You recall how old things are & then test
the easiest & most likely items

Battery
Cables
Starter Solenoid

The battery symbol indicates that the Alternator that keeps the battery charged has failed.

could mean time toi change oil or needs service,if u call dealer they might tell u its one or the other not sure though im leaning toward service engine soon

Your dash needs to come out. These bulbs push into a plastic piece that "twists" into the back of the dash board. (About a 1/4 turn) Unless you can get at them from underneath, but I think it's to tight.

Sounds like your engine temperature warning lite - thermometer with two wavy lines under it. Upper left hand lite in gang of 4 lites

press your parking brake lever all the way down then check your brake fluid level. if its low, then add.