You can buy an inter rail global pass or an inter rial one country pass from the on line inter rail website.
If your under 25 then its cheaper.
For one months pass it will cost £422.
On most of the trains you don't have to make any reservations but on some particular trains such as the high speed trains , night trains and some international trains they can be in high demand and its better to reserve a seat just in case.
The rail pass is not valid in your country of residence, so if your from England then you cant use the trains in England.
The train will depart from St pancras station in London and then take approximately 2 hours and 22 minutes then arriving in Paris at the Paris Nord station , there are no change in trains for this journey.
The Aloha hostel is situated in the heart of paris right near the Eiffel tower, it costs £18 this includes a free city tour there is no curfew , internet access, lounge area and a tours and travels desk. Recieving good reviews.