Ibaadat and Good actions

Q: I understand that it is shirk to intend to do worship for the sake of Allah as well as someone else (that the intention should only be for Allah). Is it shirk to have both the intention to achieve something as well as to please Allah when you're doing tasks that normally are not worship?

Say for example, you are cooking, both to feed your family but also because you hope Allah will be pleased with you and reward you for feeding your family. Or, giving your mother a foot massage both to please your mother and to please Allah. Is this shirk? If not, how does it differ?

Q:

1. What is the best worship to do in last 10 night of Ramadan?

2. In Masjaaid after Tarawih they do again congregation Salah 8 Rakaats (called night Salah). Best to join them in salah or best to do individual worship or salaah?

Q: Some people abandon or give preference to one form of Ibadat over another, simply on the basis that they claim to get a buzz or feeling from one, which they don't get from another. Is this a correct understanding?

Q:

1. Is it permissible for males to gather at a place on one or more occasions e.g. Masjid, Madrassah or other venue for a weekend to recite the Qur'an; the purpose being to make complete recitation of the Qur'an easy for people, who might not otherwise recite the Qur'an. The analogy to be drawn to substantiate this practice is that of congregational Fardh Salah, which is performed in congregation in order to make it easy for us to perform Salah. Similarly, congregational Dhikr is performed in order to make it easy for one to perform Dhikr.

2. If the aforementioned is permissible, is it permissible to have a requirement of the gathering that one may only leave when they have completed recitation of the Qur'an? Being a student of the Deen, please enlighten with the necessary Shar'i proofs/evidence as to whether such gatherings are permissible, bearing in mind the intention and secondly taking in to account the stipulation mentioned in point (2) above.

NB: My concern regarding this issue is that a gathering of this nature begins to be regarded as necessary or obligatory, which if my understanding is correct, would then make such a gathering impermissible.

Q: If one is fasting a Qadha of Ramadhan (due to haidh) will any ibaadat done during the Qadha fast have the same reward of ibaadat in Ramadhan?