Will using two headsets on same computer cause a problem

I love the HearThis program. It is working great for our situation. I am using HearThis in Papua New Guinea and wondering if I can use two Logitech H390 USB Headsets with Noise Cancelling Mics on the same Dell latitude-e6230 series computer? We are wanting to have other speakers do quotes (such as John the Baptist, Isaiah or Mary etc. I have two of the H390 headsets and multiple USB ports. Will using two cause a problem and if so what type of microphone works better? We have turned this over to our village guys to record while I am away so it needs to be something that will not change settings on them. Thanks for your help. Mike