What a band plan is
A band plan divides an amateur band into segments for different modes, so that weak-signal CW and SSB operators aren't swamped by strong FM signals, and beacons and satellites can be heard clearly. In the UK the plan comes from the RSGB, based on the IARU Region 1 plan. In the US it comes from the ARRL. Band plans are a voluntary agreement among amateurs, separate from the legal limits in your licence, but following them keeps the bands usable for everyone.
Calling frequencies
Calling frequencies are for making a first contact. Once you've made contact, move to a free simplex frequency nearby so others can use the calling channel. In the UK, 145.500 is the 2m FM calling channel and 433.500 the 70cm one. In the US they're 146.520 and 446.000.
Repeaters
A repeater listens on one frequency and retransmits on another, usually from a high site, which greatly extends the range of handhelds and mobiles. The gap between the two is the shift or offset. In the UK, 2m repeaters transmit 600 kHz above their input. On 70cm most UK repeaters transmit 1.6 MHz below their input, and some use a 7.6 MHz shift. Most repeaters also need a CTCSS access tone, which varies by repeater.
Satellites and the ISS
Amateur satellites use 145.800 to 146.000 MHz on 2m and 435 to 438 MHz on 70cm, worldwide. The International Space Station's amateur radio station often uses 145.800 MHz for its downlink, so on a good pass you can hear astronauts or the ISS's digital repeater with a handheld and a simple antenna.
Questions
What is the 2m calling frequency in the UK?
145.500 MHz for FM, and 144.300 MHz for SSB. On 70cm the FM calling channel is 433.500 MHz.
What is the national simplex frequency in the US?
146.520 MHz on 2m and 446.000 MHz on 70cm.
What's the repeater offset on 2m?
600 kHz. In the UK repeater outputs are 600 kHz above the input. In the US the offset is either 600 kHz up or down depending on the part of the band.
Can a UK Foundation licence use 70cm?
Yes. All UK licence classes can use 2m and 70cm, within the power limit for their licence and any band-specific conditions. Check the schedule in your licence for restrictions such as 431 to 432 MHz near London.