Consider the piano only came last Thursday and is still aclimatising itself, so it is too ealy to think about calling the tuner in.
Yes probably, but it needs to be done at one stage before you can submit a recording suitable for the site.
I am not aware of any finger slips; I discard recordings where these happen. I believe that what you call slips are the seconds, both minor and major, which abound in this piece, starting on bar one, second beat, where there is c sharp/d.
Hm.... if you really can't hear them you have not listened critically to your own recording. There are smudges specifically at 2:00, 2:06, 2:24 (that one happens to sound
ok but it's not as written), 3:06, 3:29 (a strange fumble starting here), and 3:46. Bar 12 you play as 3/4, halving the first half note. Between some bars you take a rest of (almost) a whole beat. It's tempting to consider a piece to be 'in the bag' because you've played it for 25 years, and probably know it backward, but once in a while you should listen back with score and nitpick your
I have never heard this played on the piano solo and know it only from orchestral versions. I play it at 4'14 (there is a second before it starts and five after it finishes). While the orchestral recording I have, which is by Sir John Barbirolli and Sheila Armstrong, lasts for a good 5', while Lucia Popp takes 4' 54" and Barbara Bonney goes through it in 5' 58". If anything, I am hurrying it, and you ask me to go faster?
Actually, Bonney's recording goes at a quicker speed than yours. It's just a different arrangement, containing parts not in your piano score. Also, voice and strings lend themselves so much better to long, slow lines. The piano can't really do that.
There is one (amateur it seems) voice and piano version on YouTube by someone who seems to have this score, because it is played at that speed, lasting just under 3'. I could not listen to it, because it was no longer a Cradle Song: it was a Spring Dance.
I guess you mean the one by Janalyn Bump ? I think that is a wonderful tempo, not actually much faster than Bonney.
Anyway, this your piece, I won't argue about how fast it should go. Just please acknowledge the slips and rhythmical issues. It seems clear from the various recordings that such long rests between the phrases are not the way to do it.