Just replace the ties, make sure you use fairly small ones (even use two on each connection) because some of the bigger, stiffer ones don't form a very good circle when pulled down tight on a small circumfrence.
I used to fly Eclipse kites, the main kite I used was the 6 Kima and I had no problems with it for the first year or so.
The first time it deflated on me was in the heats of the Wedge wave comp, the very first turn on my first wave it folded, helicoptered and crashed (Murphy's Law)

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I discovered that air was leaking from a hose on the one pump system due to a loose cable tie so I replaced all the cable ties on it (kept the same tubing) and never had a problem again.
I think Knickers still has that kite and it's still going strong?
I will have to ask her nicely if I can have a go on it this summer, I loved that kite.