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Regarding this question of yours, using the Automotive Power Supply to power up TCR100 would work fine. The device is rated to be working with an input voltage from 9 - 30 VDC.
You can check the device datasheet for more information about the input voltage: TCR100-Datasheet-v1.2 (teltonika-networks.com)
Additional information could be found here: TCR100 Powering Options - Teltonika Networks Wiki (teltonika-networks.com)
Hope it helps
TCR100 does support carrier aggregation. In case the device does not detect bands automatically, you can try setting bands manually. For instructions, refer to this site: https://wiki.teltonika-networks.com/view/Band_Lock#Band_lock_setting.