Does this system come with a carrying case? (Usually the case is hard plastic with a foam interior.)

Comes with the standard leather bag. No hard case

can the microphone and lavalier be used at the same time from one receiver using the 2 separate outputs?

No. This is a SINGLE channel receiver. You can only use one transmitter at a time. If you need 2, you have to buy two complete systems. So you would need one QLXD24/SM58 and one QLXD14/85, both in the same frequency group. Or you could look at the Shure SLX-D systems. They have a dual channel receiver available. You can buy 1 - SLXD4D Dual Channel Receiver 1 - SLXD2/SM58 Handheld Transmitter 1 - SLX-D-1 Body Pack Transmitter 1 - WL185 Lavalier Mic

Number of channels	2
Global Trade Identification Number	00042406350846
Manufacturer	Shure Incorporated
UPC	750408374226 042406350846
Product Dimensions	49.02 x 43.69 x 9.14 cm; 3.83 kg
Batteries	4 AA batteries required. (included)
Item model number	QLXD124/85-G50
Size	G50: 470 - 534 MHz
Standing screen display size	2
Item Weight	3.83 kg

Shure QLXD124/85 Handheld and Lavalier Combo Wireless Microphone System with WL185 and SM58, G50

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