T-Mobile supports 2/4/12/66/71 LTE bands, while TA-1021 supports 1/3/5/7/8/20/28/38/40. I'm afraid you'll not have LTE working at all. TA-1025 better suits for the US market, since it supports 2/3/4/7/12/17/28/38
T-Mobile uses bands 2/4 for 3G, while TA-1021 supports 1/2/5/8 bands for 3G. So you will get some 3G coverage unless Band 2 is not used in your area.
Lycamobile US uses T-Mobile network. So previous answer applies to your case. You won't get LTE working at all and you may get some 3G coverage on Band 2. TA-1025 and TA-1039 are the models intended for the US market.