You do not need to stop a transfer if you are encountering a fault, or a few faults. The fault may be intermittent or one that needs your intervention, such as extending authentication on an endpoint. However, once past the fault, Globus will retry and then the transfer should continue. When a job has not progressed for 3 days, the transfer will expire. However, as long as it's making progress, your transfer will continue.
We show that you have a current transfer between the same endpoints and that despite a few faults, it is making progress.
Please let us know if you still need assistance with this. If so, we may want to open a help desk ticket so that we can investigate further.