You router should support wired connections (at least 1)
The question, will it allow more that one at a time (supports NAT) ? (really old Modems used the PC to make the Modem connect to the ISP. You got 1 IP for use). Since the Tablet and Computer CAN paiir, this should be good
All that is required is that you end up on the same subnet (192.168.NNN.XYZ)
NNN must be the same, XYZ must be different for every device, wired AND wireless