I'm not even close to being an expert on cars, so bare with me, all. When i shift from first to second, as well as second to third, while accelerating as quick as my 97 Civic Hx go, it feels like the shift knob is able to move a little to the right, as well as the right front tire (i believe) feels like it's going slightly back or under the car. Anyone have any idea what's wrong? I recently got the front right lower ball joint fixed 2 days ago. thanks in advance.

Yeah if you cant tell anything by doing a visual check and rely on some info here in hopes of getting the correct response...You need to not drive the car until you find somene who knows what they are looking at. If that ball joint or any other component on your steering comes off your taking your life into your own hands,.......

maybe somethings bent like a suspension peace have you gotten in accident recently maybe allighment or tires bald or something

just check out everything before you drive her hard again. you dont want to do the stupid thing and run it hard if you think there is a problem.