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If you are facing authority issues related to TMSORG or TMSIMP, you can try to assign the pfcg role SAP_BC_CTS_ADMIN temporarily.
Please check the TMS Alert Viewer if you are facing issues using the RFC destinations.
The names of the RFC destinations are predefined by CTS, please have a look at class CL_CTS_TMS_CI_TARGET. If you want to use different RFC destinations, you have to implement BADI CTS_BADI_FOREIGN_SYSTEM.
Side-fact: As already mentioned: SAP Solution Manager is using different RFC destinations. However, if you have still configured the RFC destinations mentioned above, they will be used, also in SAP Solution Manager systems. Also ChaRM will then make use of it! This might be helpful, if you want to allow transport imports without adding such import authorities to the end-user (trusted RFC destination) or the TMW user (TMW rfc destination).