Cold storage

Yes they have to take registration if they cross limit

You can also write to me  at sthayin @ gmail for further assistance

No ......
As per Notification 21/2019 CT (R) DTD. 30.9.19 -- Services by way of storage or warehousing of cereal,pulses,fruits,.nuts,& vegetables,spices,copra,surgcane,jaggery,cotton,flax,jute etc Is EXEMPTED .

AND

As per Section 23 of CGST Act , person engaged exclusively in the business of supply of services that are wholly Exempted is Not Required obtain Registration.

Hence if you are supplying only Exempted services as mentioned above not require take Registration