First off, php 5.3.28 is higher than 5.3.7 and therefore still fits within the "band".
But, more importantly, you don't need to do this upgrade from version to version to version. Especially in light of what you are wanting to do.
You want ZC 1.5.5... why deal with the in betweens? It could be something that may become necessary (rarely) but it is a lot of time spent not focussing on the real business.
Unfortunately even going that route, there are some changes that have been made in ZC 1.5.5f that will not allow verifying some things about the store before upgrading the php version. It's unfortunate that it is that way, but the recent goal and push is to cease supporting the older versions of things when something new comes out rather than continue to use what is acceptable in both the new and old.
Anyways, hopefully you have taken a lap through this FAQ:
http://www.zen-cart.com/entry.php?3-...d-of-upgrading
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