You can't 'catch' a meowth in the wild in Pokemon emerald, you get it traded to you at the battle frontier, there is some guy that wants a skitty and if you give him a skitty, he'll give you a meowth. I can't remember what building the guy is in, but he is at the battle frontier, have a look around for him ;]
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Meowth is not in the wild in Pokemon Yellow. You have to trade to get it
Meowth is right of celadon
Yes, You can catch Groudon in Pokemon Emerald.
You can't catch one in Pokemon Emerald.
No you cannot catch Entei in Pokemon Emerald.