Pc connection problems?

Hello, so we got a new PC so now the old one is in my room but im having trouble connecting to the internet. Im currently using Windows Vista. Please answer the questions below

1: Do i need an ethernet cable to connect to the internet?

2: Why cant I view nearby wifi networks to connect too? For example: on my ipad, i could go to settings>wifi>select a rotuer to connect too. But i cant on my pc, it says: you are currently not connected to a network. Then i press connect to a network and it says windows cant find any networks. Why and how do i fix this?

3: I have a netgear router(and a shaw router, but my netgear dosn't have a permanent spot) i want to connect it to the computer but the yellow cable says: connect to router, and the other one says: connect to modem. Will plugging it into one of the wall ports work? (Just wondering but i only have a phone port for some reason?)

4:I have a short ethernet cable and i have tried connecting it to the netgear router and pc but nothing happens. My brother said i need to connect the router to the modem via yellow ethernet which says that while connecting the gray ethernet to the pc and netgear router, will it work if the netgear is connected to the modem but the ethernet is connected into the wall?

5: How do i connect to a modem? I have shaw and what i think is the modem dosn't have any plugs (all are being used and have stickers saying: do not remove) but there is space on my (supposedly) router.

thanks! Running out of characters

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