In response to your above selections of text, here are my thoughts...
1. I think he's just suggesting they go there, but without wanting to direct the Buddha about what to do
2. No particularly... that's just how it happened back in the day
3/4. Perhaps this means that he was waiting for a break in the conversation. If there is any Dhammic significance I would just put it down to politeness.
"Having understood name-and-form, which is a product of prolificity,
And which is the root of all malady within and without,
He is released from bondage to the root of all maladies,
That Such-like-one is truly known as 'the one who has understood'." (Snp 3.6)
"Whether I were to preach in brief, Sāriputta, or whether I were to preach in detail, Sāriputta, or whether I were to preach both in brief or in detail, Sāriputta, rare are those who understand." (A I 333, Sāriputtasutta)