Are my prayers and ablutions acceptable for the period during which I prayed with ablution, believing that the number of times each limb should be washed was three, and I did not interlace my fingers, and I believed that the glorification in bowing and prostration was three times?

Believing that all of ablution (wudu') is obligatory does not affect its validity nor invalidate the prayer. A ritual bath (ghusl (definition)) is sufficient if one is reasonably certain that water has covered the entire body and reached between the fingers, even if they were not interlaced; for Ibn Qudamah said: "And it is not obligatory for him to pass his hand over his body in ghusl or wudu' if he is certain or reasonably certain that water has reached his entire body." And knowledge must be sought from those who are qualified.