In the special relativistic frame of reference you describe time would appear to slow as you *approach* the speed of light. Exceeding it would not be necessary and, iirc, time would seem to reverse if you somehow did manage to do it. Doesn't much matter since there's all sorts of asymptotic behavior as you approach that value, infinite energy requirements, infinite size results, etc. (Which is why most modern SF doesn't bother with lightspeeds and instead folds space, creates additional dimensions or hyperspaces, of simply has things "move" from hither to yon without explanation.)
=-=-= Being that time is relative, you might be in a situation where you're actually travelling faster than light, which would cause time to appear to slow down. If that is, in fact, the case, then you'll have to throttle back your space ship so that you're within normal operating bounds and time will again settle back into it's pace.
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