The way I see it, the notes and pause don't add upp to 4 beats? First a dotted quarter, 3/8ths of the bar, then an eighth pause, 4/8ths, then an eighth note, 5/8ths, followed by half notes, 9/8ths?
The dot above the quarter note is a staccato articulation which doesn't affect its rhythmic value. It's still a quarter note. If the dot was to the right of the note it would change its rhythmic value.
The sample has two voices. The top voice (sticks upwards) has a half note rest followed by a half note.
The lower voice (sticks downwards) has a staccato quarter note followed by an eighth note rest then an eighth note tied into the following half note. The eighth note rest is vertically misaligned - it should be further up the staff.