FROM ubuntu:16.04

## Install Base Packages
RUN apt-get update && apt-get -y install \
    apache2 \
    make \
    curl \
    git \
    gcc

RUN a2enmod rewrite

## Install Perl
RUN apt-get update && apt-get -y install \
    libapache2-mod-perl2 \
    perl

RUN a2enmod perl

## Install PHP
RUN apt-get update && apt-get -y install \
    php7.0 php7.0-cli php7.0-common php7.0-fpm php7.0-json \
    php7.0-mbstring php7.0-mcrypt php7.0-mysql php7.0-opcache php7.0-r
+eadline \
    libapache2-mod-php7.0

RUN a2enmod rewrite


EXPOSE 80

RUN  mkdir -p /var/www/recordz
COPY recordz1 /var/www
COPY httpd.conf /etc/apache2/sites-available/
RUN  a2ensite recordz


CMD /usr/sbin/apache2ctl -D FOREGROUND
[download]

I'm really not sure how this relates in any way to Perl.

Again, note that a Mojolicious program does not need any web server, as you can launch it via

perl -w records1 daemon -l http://example.com:80/
[download]

Most likely, you can bundle your Mojolicious application in a Dockerfile by following the Instructions on the Mojolicious wiki.

The Docker error tells you that a file, httpd.conf cannot be found for copying into the Docker image. Usually that means you are in the wrong directory. But this is Perlmonks, not Dockermonks.