Experience counts a lot, but more towards getting the job. If your experience allowed you to have additional training in the same area as the company you're negotiating with, you're more likely to get a higher offer. For new graduates, salary negotiation is limited to bargaining between companies in almost all cases. If you don't have another bargaining chip, you're outta luck. Faking offers is not a good idea. It can ruin your credibility and its unethical in my opinion.
Don't worry about whether 7% is high, you really need to see if they're willing to negotiate in the first place.