I would revamp the hell out of the Ent lore, to be fair. The average Warp Speed would be more Warp 2.5 and 3 than 1 and 2, at least for interstellar stuff, which is what's really limited. Solsys isn't going to have oddities like 'The first real Mars colonies are from the 2113 era', nah. You have advanced, space faring, post World War nations on a singed rock of 5-6 billions, there's going to be activity.
Ships would be of the XCV variety - pods on poles and rings, with some nacelle variants taking out the ring, and the sphere-on-a-can will be coming into fruition, but not like the Daedalus, more like the fan Icarus class. Lets have the vertical deck orientation in as well than the horizontal cruise liner decks. Lasers and fusion missiles and some slugthrowers being the rage for combat.
The Solar System would be a big point of activity, along with the localest stars: Bernards and Alpha Centauri. Lots of warping into the Mercury mines, Lunar colonies, Martian colonies, Asteroid Mines, scientific outposts floating in the Atmosphere of Venus. Going to declare Impulse to be Fusion power once and for all, and this has the added benefit of opening up the gas giants to mining and science for fuel and engine designs, and a patrol net in the outer system past Pluto and Eris that many dread being assigned to, but they find the odd alien wreck out there or old World War III remnant. Lots of esoteric and fringe Human colonies too were set up out there, so you can shove in Cultists, Human Body Warpers, Isolationists, Revanchists and goons of the week under every ice moon and hollowed out rock as need be. The Solar System itself is huge and this can provide near endless social and war tales.
Alpha Centauri is going to be huge. It's three stars in two nearby with maybe a few debris fields and planets, with contests there between a nascent United Earth (functioning more like a Supranational Union than a WorldGov, but getting there) against the Kzinti. It's months away, and humanity sees it as a dowry gift of sorts from the galaxy, but mostly just owns Proxima Centauri while the Kzin are colonizing Alpha or Beta. The Kzin are also a younger species, maybe emerging from their own post-war conflict and are taking the route humanity could had, by being more violent and expansionist.
Bernards is a red dwarf 6 LY away and possibly has a dead planet around it, but I could see it being the refuge of a machine species using it solely for energy on their virtual paradise inside computer banks and under solar farms absolutely blanketing their world, and of interest for that silicon and energy angle. They have the drones and the droids you'd expect to defend themselves from any intruders, but also aloof and elyisian enough to not pursue grand reprisal or conquest from human interlopers/explorers, but there's also plenty of people on Earth who see that and think humanity would be better off emulating that and so the probes continue and conflict rises.
The Vulcans are keeping their hands off. They didn't really help Earth since Earth is a group of sovereign nations and the Western ones got their hands on the Vulcans anyway first, and are snobby thereof. Maybe a vulcan faction saw some kindred in Econ but that probably led to a big debacle. In the background they may be keeping other species away, but only because Earth was already space faring before and during World War 3 (with space battles and battles on the other planets in the system and upmanship between NATO and ECON and so on) and then just slapped nacelles to their fusion reactor ships in a flurry of activity, which started the first Kzin War and so on - that Humanity gruelingly 'won' even if it cost dozens of ships and a few years and massacres of Kzin; this really unnerved the Vulcans, and they want to avoid more conflict just for the sake of peace alone.
Some [Vulcans] say they should warp in and just force Humanity to sit down by force if need be, but the factions of Humans they're mostly dealing with are technically more Scientific, Democratic, and Diplomatic than not, so Vulcan hopes to steer humanity to become members of the interstellar community with commerce, exchanges and programs, which again to United Earth is part of their mission anyway.
A lot of soul searching in regards to colonization, colony rights - both domestic and foreign, what the mission of United Earth is, and its values - Secularism, Humanism, Democracy, Scientific rationalism, Diplomacy - while also having emerged from beating every tinpot warlord down in a grand Post-Atomic Horror clean up up to the 2090s and engaged in interstellar wars and seemingly, with no one but the Vulcans around, that could trash them. There's the debate between 'getting a backyard', 'fixing Earth' (lots of Domestic EcoTerrorism and movements there - maybe a arc to stop a redirected , escorted asteroid from wiping out Mars from one, perhaps) and 'lets do what Bernards did'; there's possibly a big Pro-Vulcan group that wants us to cool down and defer to them and their knowledge.