Does this switch support Power over Ethernet, and what is its PoE budget?

Yes, it supports PoE with a 1130W PoE budget.

What kind of uplink ports does the Netgear M4350-16M4V switch have, and what speed do they support?

It has 4 uplink ports using SFP28 interfaces, and the uplink speed is 25 Gigabit Ethernet.

Questions & Answers: Netgear AV Line M4350-16M4V Ethernet Switch - 16 Ports - Manageable - 2.5 Gigabit Ethernet, 25 Gigabit Ethernet - 2.5GBase-T, 25GBase-X - 3 Layer Supported - 689.60 W Power Consumption - MSM4320-100NE

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Netgear AV Line M4350-16M4V Ethernet Switch - 16 Ports - Manageable - 2.5 Gigabit Ethernet, 25 Gigabit Ethernet - 2.5GBase-T, 25GBase-X - 3 Layer Supported - 689.60 W Power Consumption - MSM4320-100NES

IGMP Plus means AV-over-IP multicasting will work out of the box and not flood your network
Auto-LAG and Auto-Trunk automatically configure the uplinks between multiple switches
The Engage Controller manages all M4250, M4300, M4350, and M4500 switches for your AV installations
NETGEAR Pro AV Design team to help with system design and implementation to ensure the project will work
AVB, Dante, Q-SYS, AES67, NVX, AMX, IPMX, NDI 4/5/6, ZeeVee, Aurora Multimedia, Kramer, Atlona, LibAV, Visionary, SDVoE, and many
From 1G to 2.5G, to 10G, to 25G, to 100G within 40cm (15.7in) depth except M4350-16M4V (MSM4320 43.2cm /17in depth)
Controlled thermal and acoustics (intelligent fans configurable in Quiet Mode to minimize noise, or Cool Mode to minimize heat)

$6,999^.99 –