All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad, sallallaahu ‘alayhi wa sallam, is His Slave and Messenger.
As for performing the prayer in the mosque, it is permissible for you to miss the congregational prayer in the mosque in this case, especially since you fear the loss of your property. In this case, you should perform the prayer in congregation at home with some of your family members. If you cannot do so and perform the prayer individually for fear of your father throwing your clothes away, you bear no sin for that because fear for one's property is a legitimate excuse for missing the congregational prayers in the mosque.
It should be emphasized that it is impermissible to leave the prayer or delay it until the end of its due time under any circumstances. There is no obedience to a created being if it involves disobedience to the Creator. If you fear that the prayer time is going to end, you must perform the prayer right away.
It is impermissible to perform the obligatory prayer in a sitting position inside the car if you are able to perform it standing. Instead, you should seek a suitable place to perform the prayer standing as a rule. However, if your father forces you to perform the prayer inside the car and forcefully prevents you from getting out of the car to perform the prayer elsewhere, it is permissible for you to perform the prayer in the position which is possible under these circumstances, even the sitting position, and you should make the motions for Rukooʻ and Sujood. If you repeat that prayer to be on the safe side, it would be better; the Shaafiʻis held that it is obligatory to repeat the prayer in such a form because of this being a rare excuse.
Allaah Knows best.