1. I don't have problem with bitly but i just wondering how google refer to those links that direct to site 1 (bitly) and redirect to my own site?

bitly links redirect using a 301 header. This does differ from one service to another, so it is always good to check via a page like this:  http://www.webconfs.com/http-header-check.php  (just paste in your shortened link and look for the HTTP response)

Using a 301 means that and PageRank is passed along that link to the final destination page.

2. There is any way to track those link throughout google analytics ?

Yes.  If the links are pointing to your site then add analytics campaign tracking variables to them and you'll get lots of additional data.  This tool helps: https://support.google.com/analytics/answer/1033867?hl=en

3. Do you have any idea were can looking for the script mentioned above?

I can't stress this enough: I have not used this script. However a quick search for [short url script] turned this up.  http://yourls.org/  I suspect that there are many others though.

My advice: be careful!

Link wheels are pretty much a text book definition of 'manipulative link building', which is what Google is trying so hard to penalise. It certainly is possible to build high quality, high authority references for hub sites to support your sites in a high quality way. However link wheels usually mean low quality pushing links to more low quality content that serve as a shield to push PR to your site.

I'm not saying that this can't work. However be aware that you are clearly trying to manipulate results so that does bring risk.  If you are increasing risk then you really want to understand the topic before building links in such a way.

Short version though: If you are building genuine high quality links and resources then why worry? Use your name. If not then definitely cover your bum (and be prepared for possible future backlash).

A page per service area is likely to be better from a pure SEO perspective, particularly if these relate to phrases that potential customers are likely to serve.  A page per service is going to give you the opportunity to really expand on the information on offer and probably rank for more related terms further down the tail as well. It also makes is easier to focus your one page optimisation more at the theme for each page.

From a user experience / conversion perspective it could help too.  That additional information, some focus and the chance to sell the benefits more should funnel more people towards conversion if it is done well.

One potential pitfall is if you are in an area where potential customers might not know exactly which product areas are right for them.  The "everything on one page" approach can work well when people want to scan their eye down what is on offer and find what is relevant to them.   Many sites now take a best-of-both approach: Have one page per service, but still have a services page that gives a shorter overview of each aimed at directing people towards the right choice for them, as you suggest in your last paragraph.