Can I remotely access my router to check temps and webcam?

Yes. We do just that with three thermometers and two cameras (in a chicken coop/greenhouse). You don't need the laptop, just a wireless router. IP cameras and wireless weather stations can talk directly to the router. The cameras will take a little networking effort, but you should be able to find instructions on the manufactures web site. The thermometers were easy to set up. I believe I saw IP cameras at Costco just the other day.

Steve