How do I connect tally to the TriCaster BROADCAST or STUDIO?

An LED may be driven by connecting it across the ring and sleeve connections directly (no external current limiting resistors needed). The LED anode should be connected to the ring and cathode to the sleeve. Current is limited to 25mA (0.025 amps)

See the linked forum thread for a diagram.

Can the TriCaster BROADCAST or STUDIO audio inputs accept phone jacks?

Yes, both TriCaster STUDIO and BROADCAST accept balanced XLR or mono 1/4" phone jack inputs for each of the four inputs.