Are the roman numerals that I've wrote correct for the given bass? The key is in G minor. And the 2nd note is A. My first guess was writing ii diminished 6 because A is the 2nd scale degree on the key of G minor. But then I realized that a 1st inversion could mean that the A was inverted for that so therefore, it is F which is iv 6 (the one I wrote in the image). Which one is correct?
You are correct that
6 indicates a first inversion chord -- specifically a first inversion triad. A first inversion seventh chord would be indicated 6-5, which the 6 above the 5.
However, there are problems with your Roman numerals.
The first chord is either a Gmin6 or an EbMaj7. Either way,
iis not entirely correct. In G minor, it would either be i6 or VI[6-5].
The second chord could certainly be in first inversion, but it would be the
VIIchord in G minor, not
iv. The iv chord would be C minor. iio is plausible as well. VII and ii share two pitches: VII = FAC; ii = ACEb.
It's not clear what you're attempting to do here. Is it an exercise you've copied from a book? In that case, knowing the original exercise is necessary. Are you composing your own four-part exercise or composition? In that case, more detail is needed. For example, did you intend the Eb in your first chord?
Yes. 6 means the chord is in first inversion.
However,the first chord has an E note. Therefore, we cannot say that it is the 1st degree. The key seems to be B flat major. If we consider the key as B flat Major, then the first chord is IV(E G B D).That also needs to be in 1st inversion and Roman numerals need to be corrected to IV6.
The second chord(if it is in first inversion-according to your Roman Numeral notation), as the given note is an A, probably it should be an F major chord consisting of (F A C F). Here the Roman numeral needs to be corrected as V6.