adapting spatial points and wrld_smpl to a reference system implicit in a .nc file

Dear all,

Im trying to overlap these points:
https://www.dropbox.com/s/awdclg4cvsdngej/clean%20urosaurus%20records.csv?dl=0

and a wrld_simpl object:
library(maptools)
data(wrld_simpl)

Over this raster layer
https://www.dropbox.com/sh/qcw174tgogpnz7s/AAByDc3TeyFe3W4nEqTFix6Oa?dl=0

This rastr comes from a .nc file without a reference system. The author of
that .nc file gave me the following data about the .nc.

The projection is *Lambert conformal conic* projection
CEN_LAT = 38.0
CEN_LON = -100.0
TRUELAT1 = 25.
TRUELAT2 = 45.

However, despite i have gone through many sites in the internet, i cant
figure it out:

a) if that is all the data i need to set a reference system for my points
and the wrld_simp object.

b) how to change a typical CRS object with such data

Ex.CRS ("+proj=lcc+lat_0=38.0+lon0_2=-100+ellps=WGS84")

Where do i enter the TRUELAT and CENLAT values?
Are there any site that explains easily what the fields in the CRS mean and
how to change them?

Thanks in advance.