There is a lot to do. But depends if you have the right company and people you actually enjoy being with. You can go out bowling, movies at home or theatre, restaurants, park, watch outdoor sports...
You can't say "At the Weekend", it's not proper english. You can say "on the weekend" if you mean, for example, "we can't go to Disneyland today, but maybe on the weekend we can."
The weekend of the week you are currently in is this weekend, Next weekend would refer to the week after that. Then of course it depends on who you are talking to, If you came up to me on monday and...
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