1. 2112?
2. Pretty influential.
They have been cited as an influence by various musical artists, including Anthrax,[93] Foo Fighters,[94] Metallica,[95] Primus,[96] Rage Against the Machine,[97] and The Smashing Pumpkins,[96] as well as progressive metal bands such as Prototype, Dream Theater[95] Puya[98] and Symphony X.[99] Trent Reznor considers Rush to be one of his favourite bands in the 2010 documentary Rush: Beyond the Lighted Stageand has particularly cited the album Signals as a major influence on how to incorporate keyboards and synthesizers into hard rock.
3. Yes
Musical style and influences[edit]
Rush's musical style has changed substantially over the years. Its debut album was strongly influenced by British blues-based hard rock: an amalgam of sounds and styles from such rock bands as Black Sabbath, the Who, Cream and Led Zeppelin.[9][83][84] Rush became increasingly influenced by bands of the British progressive rock movement, especially Genesis (Peter Gabriel era) and Jethro Tull, as Geddy Lee is a fan of both bands.[85][86] In the tradition of progressive rock, Rush wrote extended songs with irregular and shifting time signatures, combined with fantasy and science fiction-themed lyrics. In the 1980s, Rush successfully merged their sound with the trends of this period, experimenting with new wave, reggae and pop rock.[87] This period included the band's most extensive use of instruments such as synthesizers, sequencers, and electronic percussion. In the early 1990s, the band transformed their style once again to harmonize with the alternative rockmovement.[88]
https://en.wikipedia.org/wiki/Rush_(band)#Musical_style_and_influences
4. Yes
5. What does sex symbols have to do with being a great band? Pretty strong demand for Rush bootlegs.