Does TS offer the ability to open and close positions via mobile? For example, IB allows you to do it via their WebTrader and I think they even have a new piece of software that's coming out...
No, they don't. You have two choices: 1-Place stops and exit orders always. 2-Buy a PDA, Pocket PC along with GotomyPC (supports multi-monitor) for $5/month, you can manage everything from placing trades, modifying charts & strategies, receive trade signals to closing orders