Front to back motion can be cured with good chock placement or the use of Bal chocks. Side to side is only removed with diagonal struts front and rear. TT's have too much wiggle from the tongue jack and the tires. 1 diagonal, each placed on the front and rear is all that's really needed to cure the side to side. For those that haven't used them you won't understand. Those that have do.
FYI, the diagonal struts need to be attached to the frame and the lower part of the stab jack. I've seen pics of guys just clamping a 2x4 diagonally for a strut. Ugly but cheap and just as effective.
Scissor jacks are pretty flimsy. You can lower all the jacks then push on the side of the TT in the rear and 99% of the time you can see the jacks flexing. To get any up and down bounce out, screw jacks placed as close to the wheels as possible will take up and down bounce out.
I welded these screw jack mounts to the TT and used some screw jacks I made to take out the up and down bounce.