Even if they often contribute to making compositions more interesting, passing notes are not taken into consideration when identifying the core harmonic structures.
In passages where the harmony changes every eighth note, the pedal can lead to confusion; certainly, the pianist can use it as a technical device to change the sound and make it softer, but they will surely change it 4 times in that measure, especially since there is a tempo indication from one hand to this effect, not fast (and almost vocal).
Therefore, it's not about whether it is modulating or not, but precisely about the harmonic step. Besides, you are abusing the term modulation a bit too much. Those passing ones that last at most one chord are tonicizations; as you could see when the modulation arrives, it then passes through the fundamental degrees IV II V, etc.
This clarifies the nature of some of your questions, but let's see:
Measure 7: putting the notes of the first quarter in thirds order you have: F# A# C# E, we are clearly on a dominant seventh of B, which is the V° degree of E major. There we are on a V/V, precisely a tonicization. A II of E would not have had the A#, the accidentals in the key of E major would be F# C# G# D#. There is no A#
Measure 8: I understand, but D#- is the sixth degree of E major, so it is not a modulation, simply the tonicization (in this case V/VI) of the sixth degree. It's not that in 10 measures Schumann modulates to 4 different keys. As Eagle had previously stated to you, in tonal music there are centers; in this part of the piece, one starts from the home key to arrive at that of the fifth degree. The rest is a consequence. If Schumann had wanted to go to C# minor, he certainly could have done so, but he did not then touch either the II or the V... therefore he does not make the tonal center of C#- felt, ergo, it is not a modulation.
Measure 9: I agree, the presence of A# clearly indicates that it is a V/V, see measure 7. Therefore, Eagle missed here. I hadn't noticed, well done. I see you understand quickly