Given that the link light never comes on, I'm with @PhilipDAth and @BlakeRichardson thinking it's a L1 problem and to try another known good patch cable between the MS Switch and Router1. Also of course, try plugging Router1 into different switch ports on the MS, it's possible there could be a bad port. Should be quick and simple to try 2 different patch cables on 2 different ports on the MS. Also confirm if Router1 might be locked to a specific speed/duplex setting, such as 1000/full, and make sure the MS switch port where it's plugging into as locked to the same settings, just in case something is not auto-negotiating properly.
Also, was Router1 previously connected to something else, where it might have configured a sticky MAC whitelist and won't allow anything else to connect except the original device that was learned? Even if not, perhaps try rebooting and/or factory resetting Router1, while it's plugged into the MS switch and see if at ANY point the MS port shows an active link. If you've identified a bad port on the MS you'll need to open a ticket with Meraki Support anyway, so might as well open a ticket to get another set of eyes looking at this with you.
Good luck, please report back with what you find.