Cleveland bari - flat low E and F#

Hi folks. At the beginning of the year I picked up a late 1930s (SN C331XX) Cleveland bari that I'm really enjoying, but am having one issue - low E and F# are really flat. It could definitely be me as I'm coming back to the sax after a pretty long hiatus, but with practice the rest of the horn has fallen in line except for these two notes. I can hold the Eb key open to fix the low E, but nothing seems to get F# up in tune. If I lip it up, my embouchure is so tight that the note is weak and stuffy. Maybe a key height issue? Is it a known quirk with these old King/Clevelands? I'm using a Link HR 7 with it.

Other than that, I really dig this bari. I haven't found a ton of info on these old Cleveland baris in particular, but I'm guessing it's somewhat comparable to a Voll-True II or an early Zephyr. Seems pretty much identical to an early Zeph, but with a pinky table similar to an old Martin. Intonation issues notwithstanding, it has a huge sound and a great tone from top to bottom.