To your first part, I'm not sure. In the Sano signing stories, as reported in the Pitt papers, it was revealed that the agent told teams not to submit offers until he (the agent) was ready, but Pitt sent him their 2m + deal anyway. The agent was trying to get as many teams interested before the offers came in. Eventually, he told the Twins to make an offer and they did, although under an agreement that the agent wouldn't tell other teams how much the Twins offered, just that they had. Pitt (according to the agent) refused to believe their offer still wasn't the best, thought the agent was making them bid against themselves, so the Twins got him. So I would assume that part of the free agency period involves the agent talking with many teams to gauge levels of interest, teams doing medicals, scouting etc, and then feeling out offers. I very much doubt that a team says "3/30m" right away. I would imagine that Arroyo's agent will eventually ask the Twins to make an offer and might even tell them that their offer is low, and ask if they'd make a higher one.