Tantalum caps are notorious for being very intolerant to reverse polarity; as a general rule, if you aren't sure which way they are supposed to be oriented, or if there's no indication of polarity, don't use them. If you do know the proper orientation then you're good!
Comparing the layout to the schematic, it appears that both capacitors should have their positive terminals oriented to the left.
Through all the worry and pain we move on