I think it's better enjoyed if you get the references it parodies. I didnt when i saw it originally but i even then knew i was missing out.
Yes everyone should watch that and Haruhi
Yeah, it's fun. It inspired a lot of other anime/manga so it's earned classic status I think.
Check the TV Tropes
page on it if you wanna cheat when it comes to that.
To a certain extent, but its still enjoyable without. Its not like Pani Poni Dash where the references build it entirely.
If it wasn't made in the within past 10 years, I don't recommend it.
lucky star is kinda boring sometimes. I would only recommend if you like pure slice of life anime