No internet connection after unplugging modem?

So I unplugged my power source which powered my computer, modem, and Linksys router because I was about to install an airave device from sprint, but didn't get that far lol. When I did this it obviously kicked off my phone and internet, when it came back on, the blinking light on modem was off and no internet but yet there was still strong wireless signal on all devices like iphone and tablets. I called Comcast and they did a rest which shut of phone lines again, and then when it came back on the internet still didn't work. Eventually I unplugged the cable connection on modem and it restored phone and the blinking light came on the modem and I thought everything was fixed but I still couldn't connect to the internet on any device in my house. Also too, my router was connected through a computer, not directly into the modem, only because its been like that forever, keep in mind that computer has no screen and it was just there for that reason, guess I didn't know you could plug router directly into modem lol. The thing I don't understand is throughout the years I have had power outages due to storms and such and the internet would always return. Could it be my router? Is it too old, i have had it for years

Added (1). Shouldn't I be able to just plug the router into the modem and have wireless for all my devices. I thought I didn't have to plug anything into a computer. The computer I have is junk. Everyone in house has a lap top or tablet

Okay, I'm really confused. With your setup. Lets make this -really- simple for you.

It sounds like you have an EMTA Cable Modem (Provides Voice and Internet). Depending on what model you have, it could have 2 phone and 4 switchports on the back or 2 phone and one WAN/Internet Port.
What I want you to do is start simple and then go more complex. Here's a few steps.

1. Unplug everything.
2. Plug just the cable modem into the wall outlet and let it sync up.
3. Plug just your computer HARD WIRED into either one of the Ethernet ports on the back or the WAN/Internet port (depending on what model you have again).
4. Check and see if your computer has Internet access. If it does, great, you've ruled out the ISP's equipment being the cause for this debacle and you can now look at your wacky setup. If it does not work, immediately call Comcast for support and have them get just one PC online directly to the modem.

IF IF IF IF your Internet connection works, you need to shut down the cable modem again from the power source to clear the MAC Address table that is now linked to your PC that was online to ensure it syncs up with the next device.
1. Once the cable modem is off. Plug your powered off Linksys router into the WAN/Internet port of the cable modem AND ensure the other side of the Ethernet Cable is plugged into the WAN/Internet port of the Linksys router.
2. Power on the cable modem and wait for it to come online.
3. Power on your Linksys router and wait for it to come online.
4. Once both devices are online, you'll need to plug in your PC to one of the 4 ports on the back of the Linksys router. DO NOT PLUG IT INTO THE INTERNET PORT -- that is reserved for the Internet connectivity between your router and cable modem.
5. Once you've plugged in, check your PC to see if you have WIRED connectivity.
6. If you do not, your router needs to be factory reset and reconfigured.
7. If you do have Internet yay!
8. Try your Wireless connection out to see if you can get online then. If not, you might still need to factory reset the Linksys router and setup the wireless SSID/Encryption again.

If it doesn't work after plugging in the router and factory resetting the router -- the router is the fault of your debacle.

Again your wacky setup doesn't make sense so let me rough draw how you should be connecting your network up:

Cable Modem --> HARD WIRED TO --> Linksys Router --> HARD WIRED OR WIRELESS TO --> PC or Laptop

PS: Routers usually last forever when properly cared for. I still own a WRT54G that I've had since 2002 and it still works! I don't use it for my main connection but it operates as a sniffer for my network for statistics and metric reporting.