A few things to keep in mind. In the draft position, if everything is operating properly, the system should keep the plow at an even depth, assuming the soil conditions are fairly consistent.
You said the first pass was fine; after the first pass you should crank up the leveling link on the right hand side. You need to do this because the tractor will be tipped with one wheel in the furrow. For a start crank it up about 6 turns from the level position. You should always try to avoid replowing the same ground, or as you called it crisscrossing; this will of course turn up the trash you just plowed under. The tractor wheel tread setting must be correct; if set too wide the plow will be too far to the left and turning too big of a slice; if it is a 16" plow, it should be turning only 16" on each pass. I believe around 52"-56" wheel tread is about right.
Go slow at first until you get the hang of it. Keep your right hand on the 3-pt lift control so you can make minor adjustments as you go. If you're only doing a small plot, it might be better to plow it 1-way, just back up and turn another furrow. On a larger field I would start in the middle by plowing two shallow furrows together and then continue in a clockwise direction. Now that you've messed it up you will have a hard time getting it nice; as you noticed if you replow it the trash will come back up. If you have a disk, try disking it to level it, or maybe a rototiller. If you can, let it set and decay for a while before plowing again. Good luck.
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