If the Windows 7 came bundled with the laptop, no. If you purchased it separately, and want to move it, that's possible, but unless it's a multi-use license, it can only be used on one computer at a time, not on both at the same time.
If your internet service has a bandwidth limit, they could be throttling your connection speed if you're moving lots of data. Would have to check with them, with your contract, and ask yourself if you're exceeding their limits. "Unlimited" can be related to 24 hours a day/365 days a year, instead of unlimited bandwidth.
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