Can iPhone 5 support T-Mobile 4g LTE?

Also Can you use t mobile on the iPhone or does the iPhone have to be unlocked?

Yes it will work, better to unlock

It needs to be unlocked, T-Mobile does not yet have an LTE Network and in most cities you won't even have 3G. T-Mobile is in the progress of switching to a iPhone Compaitble band (Channel for Cell Phone) that will have 4G HSPA+ ("4G" on AT&T but not LTE) Later this year (2013) T-Mobile will launch LTE on that "Channel" and you'll have 4G LTE

Have you heard of this Huawei E5151? It is mainly designed for SOHO and business people, and Huawei E5151 is a multimode terminal that supports a variety of network mode. NOT only can access via 3G/2G network, but also through the Ethernet. This is the special and key features of HUAWEI E5151 Pocket Wi-Fi Hotspot. Easily surfing on the Internet, feel free to share each other.

http://www.4glteway.com/huawei-e5151-21mbps-3g-wifi-router.html