Well I think you follow nursie's advice.
The usual 'thing' - which incidentally is well documented in Insulin Pumping by John Walsh LOL - is to reduce your insulin by 30% ish the day you actually start pumping so 20% probably just wasn't enough to begin with.
The hypos are certainly more urgent than any kind of 24 hr tweaking. And you obviously ARE fairly sensitive to fast-acting insulin by the fact your carb ratio was already 1u to 14g - so Yep, do what she said.
Like I've always said - get rid of the hypos or anything to do with hypos (lack of awareness etc) FIRST - which then gives you the breathing space to get the rest right, doesn't it?
Far better to run slightly higher for a little while and then nudge it down till you're satisfied with it.
My feeling is - given my response so far - that it's more likely to be basal needing reduction the same as Mike said - but as Sue said, only do one or the other right now, because otherwise you won't know for a fact which bit is the culprit !