presta schrader adapter
The harbor freight inflator you linked is not presta-compatible; you can see it has an auto-style (schrader) head. You can buy compressor tips that fit prestas, harbor freight probably has them (and the adapters linked above).
If you use the little adapter on the presta stem, then remember to open the presta valve first. If the nut on the valve is tight you can't depress it to open the valve.
In the future, you can put schrader tubes in those wheels, but you may have to drill the valve holes out a bit first. Smooth the edges after reaming so you don't pop tubes.