Patric from Iniz replied via ticket and temporarily un-suspended my account so I could back up my sites. I managed to backed up all but one big site of mine and gave them green light on deletion of my service. The site that I couldn't back up is lost, and sadly, was the reason for the spike in load in the first place.
I appreciate the chance to download my other sites. Lesson is learned: back up often!
Regarding the service quality. I signed up with them long before they changed their name to INIZ. During my stay with them there were no problems but once. Which was fixed quickly. Yes, occasionally servers were slower then other times but overall I would say the service was good for the money. But also keep in mind that I was grandfathered in to the 'bigger' plan that I had with original company (3gb ram, 75gb hdd and 750 gb traffic for $7). They don't really offer it now. One of my sites became popular and I was asked to leave.