Hello Noovi,
the Catalyst 3850 supports modular QoS like routers
see the configuration guide below
ttps://www.cisco.com/c/en/us/td/docs/switches/lan/catalyst3850/software/release/16-9/configuration_guide/qos/b_169_qos_3850_cg/configuring_qos.html
So generally speaking you can achieve your QoS configuration.
You need to configure IP ACLs that will be used to define traffic classes
a) configure ACLs that define each traffic type
b) configure class-maps . Each of them will use a match address <ACL> to classify traffic
c) You configure a QoS policy-map
The policy-map invokes each class-map and applies one or more action to it like for example a policer or shaper or remarking of DSCP. In addition to user class-maps you can at the end invoke the class class-default to define what to do to traffic not matching any of the previuos classes.
d) You apply the policy-map using service-policy <QoS-policy-name> in/out in interface configuration mode.
Different policy-maps can be applied to different interfaces as needed.
note: shaping is supported only outbound, policing can be applied inbound or outbound.
Another option you can use, it is to use QoS on access layer switch and server farm switch to mark traffic with DSCP values that you will then match on the core switch.
This option is usually used in a big network environment to remove the classification task using ACLs from the core switch.
In your case marking in access layer can be possible or not depending on what models are the access switch and the server farm switch
Hope to help
Giuseppe
