Colby the pics show at this stage most all is as it should be.
However bees do not understand mesh. The ones under the hive will spend their energy trying to get through the mesh and can die before they find the correct way in. If you wish to save those ones, best plan is remove them & dump on the front entrance so they can walk in. The other advice also is correct that for now anyway, the bees will be happier with the mesh blocked off, if you have the technology to do that.
For me anyway, my advice to new beekeepers installing packages is to use solid bottom boards rather than screened ones to avoid these problems, the screen, if you wish, can come later.
But all else looks how it should be.
Also as per other advice, leave them alone for 2 weeks, other than to replace syrup.
Pretty sure the queens are OK in both hives, we know that cos if one of them was queenless a lot of the bees would have drifted to the other hive.
There's a few other issues can happen down the track with packages such as queen supersedure but my feeling is the future looks bright for you 2 hives.