Yes, you will get full access and you can access your servers using Remote access software such as Microsoft's Remote Desktop Control. You can install any applications on the servers.
> are all dedicated servers the same.
# They can be different hardware wise and software wise. All depends on your budget and requirements
> ... and also i was told that the budget has been increased to £100 a month or $200-250.
# A decent dedicated server on SoftLayer costs about $275. You might be able to get a good server for this prices on some of the reputed DC.