Extension of Vignette Sticker and change of client

Dear Members,

First of all, apologies if the question raised is already raised earlier. I searched through the portal long enough but could not find any similar previous question. I will appreciate if the admin/ mods/ other people can answer my query at the earliest.

Background: I work for an India based software services company. My organization applied for UK Tier 2 ICT Long Term visa for myself and my dependents for client A. I was supposed to work at A's client location in UK. I submitted the documents and got the vignette sticker added to our passports as well. However, before I could travel, the client (A) has terminated the position. Thus, I can't travel to UK for that client. My organization is looking for other projects in UK for other clients wherein I could work.
My queries are:
1. The vignette sticker is valid for 30 days. Assuming that I get another project with another client in UK, can I travel within the 30 day time period? My CoS mentioned the client name (A), work location and also the designation. In view of the change of the client, will the CoS need to be changed, and any UK government organization informed of such a change? Are there any other process related things to be taken care of?
2. Consider the likely possibility that I don't get another project with another client within the 30 day period. In that case, if I have to travel to UK for another client after 30 days, what all process related things one needs to take care of:
--Change to the CoS and due information being provided to UK immigration department, etc.
--Because I could not travel within the 30 day period, do I need to transfer my vignette sticker transfer done by submitting the application again and mentioning that it is only a case of transfer and not a new application? The fees in such a case would be for transfer of vignette, usually around 15k INR instead of the complete fees paid earlier?
--My case will fall under Transfer of Conditions only and not as a new case of VISA application?

Any help would be highly appreciated. If anyone needs more information to reply to my query, please let me know, I would be happy to provide such an information.

Thanks.