Hello there,
The first bar of your harmony excercise does NOT contain parallel fifths, for the simple reason that the notes concerned are simply repeated, rather than moving from one fifith to another fifth on succession.
However, the first chord contains a 'mistake' in terms of good practice for this type of exercise. It is always better, where possible, to double the root of the chord, rather than the fifth. So, tenor should be on middle C on the first chord. This will solve your problem since you will no longer have the repeated fifth!
It looks as though the next stage of your development in terms of learning harmony should be to start using 1st-inversion chords as well as root position chords.
Well done for taking the study of harmony seriously. 4-part harmony is the most glorious invention in the whole of western classical music. It applies not only to choirs, but also to string quartets, piano writing, orchestras... etc etc. Good luck!