Hi Anil,
Welcome to the forum and to the sport.
These are very general concerns for someone just delving into adventure sports (mountaineering in particular) and not really "concerns".
Since you're already following a training regimen and your post mainly concentrates on footwear, I will address that.
Also checkout other threads about basic course. You'll find some good advise there as well.
Dont buy any technical gear as yet. 90% of the mountaineering course folk don't engage in any sort of adventure activity after the course. I know of guys who wanted to rock the world during their basic course (my basic course fellows) , got an A grade, and are now busy with their corporate and family lives.
Things that you can get and won't be wasted....
A sleeping bag liner (cheap cotton or expensive silk or polartec fleece... You decide)
Thermals or base layers, good pairs of wollen socks, mid weight socks and sock liners, glove/mitt liners, water bottle, balaclava/multi function head gear etc. Why should you get these ?? Cause of hygiene reasons. Sleeping bags and clothing provided by the institute will have been used by hundreds (if not thousands) of people. You don't want their dirt and grime on you. I know I wouldn't. None of these would be wasted cause you could use them even if you're never involved in any adventure activity. You could use base layers during winters , sleeping bag liners during travels , in hotels etc..
Now footwear.
Many years back I went to my basic course with one pair of adidas trail/hike footwear. Now I own (and make available ) all sorts of stuff (technical equipment or apparel) required for an expedition/solo trip. You too could decide to buy stuff once you're sure if you wanna pursue this sport further. Take it easy till then.
You could go with two shoes or one. It is really up to you. But a good hiking shoe with ankle support is a must. Since it is a basic course and since nobody is sure (even if they say they are) if they wanna pursue the sport after the course it is best not to spend a lot on anything.
Most good brands like Salewa, TNF, Scarpa, La Sportiva, Vasque, Salomon, etc make great hiking shoes but, they are also really expensive. Upwards of 10k for good hiking boots. I usually advise against decathlon stuff but perhaps the forclaz 500 is decent enough for the hike to base camp and daily physical training. Woodlands , weinbrenner etc are terrible but may probably get the job done. I would still advise you to refrain from wasting your money on woodlands or weinbrenner. If budget is not a concern then sportiva, scarpa, Salewa, zamberlan, Salomon etc are worth the investment. You could use the boots even if you're not hiking or climbing. So no wasted funds in case of boots. As for something to rock/wall climb in, please be wise. Dont spend a hefty sum for rock climbing shoes ... Something useful and less stiff could get the job done without burning a hole in your pocket. PT shoes? Well I hope you only mean for the duration of the course. After that, if you do decide to carry on, then get proper rock climbing shoes and hiking boots from good brands.
Hope the info here helped you.....